Scattering description of Andreev molecules
arXiv:2002.10952 · doi:10.21468/SciPostPhysCore.2.2.009
Abstract
An Andreev molecule is a system of closely spaced superconducting weak links accommodating overlapping Andreev Bound States. Recent theoretical proposals have considered one-dimensional Andreev molecules with a single conduction channel. Here we apply the scattering formalism and extend the analysis to multiple conduction channels, a situation encountered in epitaxial superconductor/semiconductor weak links. We obtain the multi-channel bound state energy spectrum and quantify the contribution of the microscopic non-local processes leading to the formation of Andreev molecules.
arXiv commentResubmission to SciPost
References in corpus (14)
- Random-Matrix Theory of Quantum Transport
- Quantum information processing with superconducting circuits: a review
- Epitaxy of Semiconductor-Superconductor nanowires
- Two-dimensional epitaxial superconductor-semiconductor heterostructures: A platform for topological superconducting networks
- Epitaxy of Advanced Nanowire Quantum Devices
- Quantized conductance doubling and hard gap in a two-dimensional semiconductor-superconductor heterostructure
- Production of non-local quartets and phase-sensitive entanglement in a superconducting beam splitter
- Nonlocal Josephson effect in Andreev molecules
- Andreev scattering and cotunneling between two superconductor-normal metal interfaces : the dirty limit
- Conduction Channels of an InAs-Al nanowire Josephson weak link
- Fine energy splitting of overlapping Andreev bound states in multi-terminal superconducting nanostructures
- Overlapping Andreev states in semiconducting nanowires: competition of 1D and 3D propagation
- Unitary limit in crossed Andreev transport
- Why does a metal-superconductor junction have a resistance?
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